List questions from fractional-calculus

Published on 03 Oct 2022 - 23:19

63

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Line element, metric tensor, integral and the sphere in fractional dimensions

Published on 16 Oct 2022 - 21:39

43

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Numerical method for space fractional derivative in 1 dimension

Published on 25 Mar 2026 - 10:52

593

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Caputo vs Riemann-Liouville fractional calculus computation

Published on 27 Oct 2022 - 15:58

101

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On a solution of a fractional integral equation

Published on 25 Mar 2026 - 10:55

20

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Fractional integral related to stable process on half-space

Published on 04 Nov 2022 - 19:48

773

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Laplace transform of Riemann-Liouville fractional derivative vs Caputo fractional derivative

Published on 19 Nov 2022 - 22:57

89

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Reference request about the parabolic Sobolev spaces

Published on 26 Mar 2026 - 21:25

161

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A really really weird new(to my knowledge) kind of differential equation.

Published on 25 Mar 2026 - 10:57

62

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Find $a,b>0$ for which $||\langle x\rangle^{-b}|\partial_x|^{1/2}f||_{L^2}\lesssim||\partial_x f||_{L^2}+||\langle x\rangle^{-a}f||_{L^2}$

Published on 10 Dec 2022 - 15:33

93

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Solving a fractional differential equation

Published on 25 Mar 2026 - 10:52

130

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Some examples of Fractional Laplacian on $\mathbb{R}^{2}$ : $(-\Delta)^{\alpha/2}u(x,y)$

Published on 21 Dec 2022 - 11:19

77

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Relationship between fractional Poisson kernel for a region and its complement

Published on 09 Jan 2023 - 19:12

287

Views

Solving non-linear fractional differential equation

Published on 25 Mar 2026 - 10:58

List Question

Stuck on proving fractional integral is continuous

Line element, metric tensor, integral and the sphere in fractional dimensions

Numerical method for space fractional derivative in 1 dimension

Caputo vs Riemann-Liouville fractional calculus computation

On a solution of a fractional integral equation

Fractional integral related to stable process on half-space

Laplace transform of Riemann-Liouville fractional derivative vs Caputo fractional derivative

Reference request about the parabolic Sobolev spaces

A really really weird new(to my knowledge) kind of differential equation.

Find $a,b>0$ for which $||\langle x\rangle^{-b}|\partial_x|^{1/2}f||_{L^2}\lesssim||\partial_x f||_{L^2}+||\langle x\rangle^{-a}f||_{L^2}$

Solving a fractional differential equation

Some examples of Fractional Laplacian on $\mathbb{R}^{2}$ : $(-\Delta)^{\alpha/2}u(x,y)$

Relationship between fractional Poisson kernel for a region and its complement

Solving non-linear fractional differential equation

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